Question

How can we say that a factorisation is unique?

Please explain with an example..... ​

Answer 1

hello there here is ur answer =========

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⭐The Fundamental Theorem of Arithmetic states that every natural number greater than 1 can be written as a product of prime numbers , and that up to rearrangement of the factors, this product is unique . ........

⭐⭐For example :-

◾Here is a factor tree for 1386 . We start by noticing that 1386 is even, so 2 is a factor. Dividing by 2 , we get 1386=2×693 , and we proceed from there.

factor tree of 1386:-

◾This shows that the prime factorization of 1386 is 2×3×3×7×11 .....

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Answer 2

Hey mate....

here's the answer....

How can we say that a factorisation is unique?

Please explain with an example..... ??

Factorization theorem, states that every integer greater than 1(4) either is a prime number itself or can be represented as the product of prime numbers ..

For ex - 12 = 2 × 6 = 3 × 4

Hope it helps you ❤️